11131323210 has 128 divisors (see below), whose sum is σ = 34128138240. Its totient is φ = 2528995392.

The previous prime is 11131323209. The next prime is 11131323289. The reversal of 11131323210 is 1232313111.

11131323210 is a `hidden beast` number, since 1 + 1 + 131 + 323 + 210 = 666.

11131323210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 297997 + ... + 333263.

It is an arithmetic number, because the mean of its divisors is an integer number (266626080).

Almost surely, 2^11131323210 is an apocalyptic number.

11131323210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11131323210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17064069120).

11131323210 is an abundant number, since it is smaller than the sum of its proper divisors (22996815030).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11131323210 is a wasteful number, since it uses less digits than its factorization.

11131323210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35457 (or 35451 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11131323210 its reverse (1232313111), we get a palindrome (12363636321).

The spelling of 11131323210 in words is "eleven billion, one hundred thirty-one million, three hundred twenty-three thousand, two hundred ten".